What Is The Decimal Representation Of $27 / 100$?A. 0.27 B. 2.7 C. 0.72 D. 27.1

by ADMIN 87 views

Introduction

In mathematics, decimal representation is a way of expressing numbers using a base-10 system, where each digit's place value is a power of 10. This system is widely used in everyday life, from financial transactions to scientific calculations. In this article, we will explore the concept of decimal representation and how it applies to the given problem: finding the decimal representation of 27 divided by 100.

What is Decimal Representation?

Decimal representation is a way of expressing numbers using a base-10 system, where each digit's place value is a power of 10. The decimal representation of a number is the sum of the products of each digit and its corresponding place value. For example, the decimal representation of the number 123.45 is:

1 × 10^2 + 2 × 10^1 + 3 × 10^0 + 4 × 10^(-1) + 5 × 10^(-2)

How to Find Decimal Representation

To find the decimal representation of a number, we can use long division or a calculator. Long division involves dividing the numerator by the denominator and finding the remainder. The decimal representation is then obtained by writing the remainder as a decimal.

Solving the Problem: 27 / 100

Now, let's apply the concept of decimal representation to the given problem: finding the decimal representation of 27 divided by 100.

To solve this problem, we can use long division or a calculator. Here's the step-by-step solution:

  1. Divide 27 by 100 using long division:
  0.27
100 | 27.00
  -240
  ------
    87.00
  -800
  ------
    -713.00
  -700
  ------
      -13.00
  1. The decimal representation of 27 divided by 100 is 0.27.

Conclusion

In conclusion, the decimal representation of 27 divided by 100 is 0.27. This is because when we divide 27 by 100, we get a remainder of 27, which is the decimal representation of the result.

Answer

The correct answer is A. 0.27.

Additional Examples

Here are a few more examples of finding decimal representation:

  • 45 / 100 = 0.45
  • 75 / 100 = 0.75
  • 25 / 100 = 0.25

Tips and Tricks

Here are a few tips and tricks for finding decimal representation:

  • Use long division or a calculator to find the decimal representation of a number.
  • Make sure to line up the decimal points correctly when using long division.
  • Use a calculator to check your answer and ensure accuracy.

Common Mistakes

Here are a few common mistakes to avoid when finding decimal representation:

  • Forgetting to line up the decimal points correctly when using long division.
  • Not using a calculator to check your answer and ensure accuracy.
  • Not understanding the concept of decimal representation and how it applies to the given problem.

Conclusion

Frequently Asked Questions

In this article, we will answer some of the most frequently asked questions about decimal representation.

Q: What is decimal representation?

A: Decimal representation is a way of expressing numbers using a base-10 system, where each digit's place value is a power of 10.

Q: How do I find the decimal representation of a number?

A: To find the decimal representation of a number, you can use long division or a calculator. Long division involves dividing the numerator by the denominator and finding the remainder. The decimal representation is then obtained by writing the remainder as a decimal.

Q: What is the decimal representation of 1/10?

A: The decimal representation of 1/10 is 0.1.

Q: What is the decimal representation of 1/100?

A: The decimal representation of 1/100 is 0.01.

Q: How do I convert a decimal to a fraction?

A: To convert a decimal to a fraction, you can use the following steps:

  1. Write the decimal as a fraction with a denominator of 10^n, where n is the number of decimal places.
  2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor.

Q: What is the decimal representation of 3/4?

A: The decimal representation of 3/4 is 0.75.

Q: How do I round a decimal to a certain number of decimal places?

A: To round a decimal to a certain number of decimal places, you can use the following steps:

  1. Look at the digit in the next decimal place.
  2. If the digit is 5 or greater, round up.
  3. If the digit is less than 5, round down.

Q: What is the decimal representation of 0.56789 rounded to 2 decimal places?

A: The decimal representation of 0.56789 rounded to 2 decimal places is 0.57.

Q: How do I add and subtract decimals?

A: To add and subtract decimals, you can use the following steps:

  1. Line up the decimal points correctly.
  2. Add or subtract the digits in each place value, just like you would with whole numbers.

Q: What is the result of 0.5 + 0.7?

A: The result of 0.5 + 0.7 is 1.2.

Q: How do I multiply and divide decimals?

A: To multiply and divide decimals, you can use the following steps:

  1. Multiply or divide the digits in each place value, just like you would with whole numbers.
  2. If the result has a decimal point, multiply or divide the digits in each place value by the same power of 10.

Q: What is the result of 0.5 × 0.7?

A: The result of 0.5 × 0.7 is 0.35.

Conclusion

In conclusion, decimal representation is an important concept in mathematics that has many real-world applications. By understanding how to find decimal representation, add and subtract decimals, multiply and divide decimals, and round decimals, you can solve a wide range of problems and make informed decisions in your daily life.